dgetrs_vecSolve a system of linear equations with the LU decomposition from dgetrf |
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Lapack documentation Purpose ======= DGETRS solves a system of linear equations A * X = B or A' * X = B with a general N-by-N matrix A using the LU factorization computed by DGETRF. Arguments ========= TRANS (input) CHARACTER*1 Specifies the form of the system of equations: = 'N': A * X = B (No transpose) = 'T': A'* X = B (Transpose) = 'C': A'* X = B (Conjugate transpose = Transpose) N (input) INTEGER The order of the matrix A. N >= 0. NRHS (input) INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A (input) DOUBLE PRECISION array, dimension (LDA,N) The factors L and U from the factorization A = P*L*U as computed by DGETRF. LDA (input) INTEGER The leading dimension of the array A. LDA >= max(1,N). IPIV (input) INTEGER array, dimension (N) The pivot indices from DGETRF; for 1<=i<=N, row i of the matrix was interchanged with row IPIV(i). B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
LU |
Type: Real[:,size(LU, 1)] Description: LU factorization of dgetrf of a square matrix |
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pivots |
Type: Integer[size(LU, 1)] Description: Pivot vector of dgetrf |
b |
Type: Real[size(LU, 1)] Description: Right hand side vector b |
x |
Default Value: b Type: Real[size(b, 1)] |
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info |
Type: Integer |